The generator matrix

 1  0  0  1  1  1  0  1  1  1  1  0  X  X  1  1  1  1  X  0  X  1  1  0  0  1  1  X  X  1  1  0  1  X  1  1  0  1  0  1  X  1  1  0  1  X  1  1  0  1  1  1  X  X  0  1  1  1  1  1  0  1  0  0  X  1  0  1  1  0  0  0  1  1
 0  1  0  1  0  1  1  0  0  1 X+1  1  X  1  0  X  1 X+1  1  1  X  0 X+1  1  0 X+1  1  1  1 X+1  X  0  0  1  0  0  X X+1  1  1  1  X  1  1 X+1  1  0  0  1 X+1 X+1  X  1  1  X  0  0  1 X+1  X  0 X+1  X  1  1 X+1  1 X+1  X  0  1  1 X+1  0
 0  0  1  1  1  0  1  0  1  1  0  X  1 X+1 X+1  X X+1  0  1  0  1  0  X X+1  1 X+1 X+1 X+1  X  X  X  1  0 X+1 X+1  0  1 X+1 X+1  X  X  1  0  X  1  X X+1  X  1  X  1  1  X  X  1  X X+1 X+1 X+1 X+1  1  0  1  X X+1  X X+1  1  1  1 X+1 X+1  0  0
 0  0  0  X  0  0  0  0  0  0  0  0  0  X  X  X  X  X  0  0  X  X  X  X  0  0  X  0  0  X  0  X  X  0  X  0  X  X  X  0  X  0  0  0  0  X  X  0  0  X  X  0  0  X  X  X  0  0  X  X  X  X  X  X  0  0  0  X  X  0  0  X  0  0
 0  0  0  0  X  0  0  0  0  0  X  X  X  0  X  X  0  0  X  0  X  X  X  X  0  0  X  X  0  X  X  0  X  X  0  X  X  0  0  0  X  0  0  X  X  X  X  X  0  0  X  0  X  0  0  0  0  0  0  0  0  0  0  0  0  0  X  0  0  X  X  0  0  0
 0  0  0  0  0  X  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  0  X  0  X  0  0  0  0  X  X  X  X  0  X  X  0  X  X  X  0  X  X  X  X  X  0  0  X  X  0  0  0  X  0  0  X  X  0  X  0  X  X  0  0  0  X  X  0  X  0  0  0  0
 0  0  0  0  0  0  X  0  0  0  0  0  0  X  0  0  0  0  X  0  X  0  0  X  X  X  X  0  X  X  X  X  0  X  0  X  X  X  X  0  0  0  X  X  X  0  X  X  X  0  0  0  X  X  0  0  0  0  0  X  X  0  X  X  0  0  0  0  X  0  0  X  0  0
 0  0  0  0  0  0  0  X  0  0  0  0  0  0  0  0  X  X  X  X  X  X  X  X  0  0  0  X  X  X  X  X  0  0  0  X  0  0  X  0  X  X  X  0  X  X  0  X  0  0  X  0  X  X  X  X  X  0  X  X  X  0  0  X  X  0  0  0  0  0  X  0  0  0
 0  0  0  0  0  0  0  0  X  0  X  X  X  0  0  X  0  0  X  X  X  0  0  0  X  0  X  X  X  0  X  X  X  0  0  0  0  0  0  0  0  X  0  X  0  X  0  0  X  X  0  X  X  X  0  0  X  X  X  0  X  0  X  0  0  0  X  0  X  0  0  0  X  0
 0  0  0  0  0  0  0  0  0  X  0  0  0  X  X  X  0  X  0  X  X  0  0  0  X  X  0  0  X  0  X  X  0  0  X  0  X  0  X  X  X  X  0  0  X  0  0  X  0  X  X  X  X  0  X  X  0  0  0  X  X  0  X  0  0  0  X  X  X  X  X  0  X  0

generates a code of length 74 over Z2[X]/(X^2) who´s minimum homogenous weight is 60.

Homogenous weight enumerator: w(x)=1x^0+30x^60+36x^61+119x^62+124x^63+213x^64+192x^65+224x^66+302x^67+357x^68+432x^69+454x^70+444x^71+431x^72+508x^73+484x^74+554x^75+435x^76+452x^77+439x^78+388x^79+358x^80+312x^81+210x^82+194x^83+152x^84+104x^85+85x^86+36x^87+51x^88+12x^89+24x^90+6x^91+17x^92+6x^94+2x^96+2x^98+1x^100+1x^102

The gray image is a linear code over GF(2) with n=148, k=13 and d=60.
This code was found by Heurico 1.16 in 12.5 seconds.